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Finding the Third Proportional to 67,054,410 and 102,530,475

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Solution

The third proportional to 67,054,410 and 102,530,475 is: 156,775,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,054,410 : 102,530,475 = 102,530,475 : x
  2. Step 2: Convert to fraction form
    67,054,410/102,530,475 = 102,530,475/x
  3. Step 3: Cross multiply
    67,054,410x = 102,530,475 × 102,530,475
  4. Step 4: Simplify right side
    67,054,410x = 10,512,498,303,725,624
  5. Step 5: Solve for x
    x = 10,512,498,303,725,624/67,054,410
  6. Step 6: Final answer
    x = 156,775,643.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.